is 2 3331331 - 1
has 1002831 decimal digits
takes 0.350 GHz-days to do one PRP test
Last-known PrimeNet details:
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.892267.6471%1000000710000000.73316.9706%18.625374.6176%11.2843%
PrimeNet2600.046163.3333%140002600000.00422.7831%0.050366.1165%2.7831%
GPU722641.068465.6250%180003000000.00511.7536%1.073567.3786%1.7536%
Difference+4+16.8238+2.0221%+982000+70700000+0.7280+5.2170%+17.5518+7.2391%+7.2391%

Known prime factors (2 factors, 94.8 bits, 0.00284616% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
333133126650649824.6684
22
44-6.715e-136.092e-71.240e-6
333133113074054007360796206012270.147196228684681300
22 × 52 × 61 × 1453 × 22139461
1453221394612021-01-2672.3500.18390.3431

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3331331348432024357215996046904200492994.815
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-01-19T03:28:57Jocelyn LaroucheManual testing333133333133---0.051--1.621%
2021-01-26T22:21:01gLausslaptop-klaus1000000710000002270.1470.7330.7001.4666.971%
2021-02-14T21:26:15Jocelyn LaroucheManual testing33313336644646---0.078--3.511%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-03-30T19:06:03Jocelyn LaroucheManual testing267268--8.973--


ECM factoring results:
Total ECM effort:12.070 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%
302500003 / 6400.00599.532%
3510000003 / 15800.00299.810%

ECM Summary

B1B2factorcurvesGHz-days
50000500000030.438
50000675000030.507
1000000160000000311.12


Lucas-Lehmer results:
Exponent "3331331" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-04T16:39:36Oliver KruseGTX-3
26650649
B786DF1732AE73__no
2017-12-15T03:04:17kkmrkkblmbrbkc4.xlarge
26650649
B786DF1732AE73__no
2021-01-26T23:07:38gLausslaptop-klaus
26650649
1307405400736079620601
B786DF1732AE7343no
2021-01-27T07:45:02MarkSdesktop-i7
26650649
1307405400736079620601
B786DF1732AE7343no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 71000000 (stage 2)
B1 = 1000000 (stage 1)
B1 = 333133, B2 = 3664464 (stage 2)
B1 = 333133 (stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
268
220
230
240
250
260
270
280
290
2100
Last modified: 2021-03-30T19:06:03+00:00